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julia-pushkina [17]
3 years ago
8

Standard form of a line that has a slope of -1 and passes through (-5,-1)

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Step-by-step explanation:

y + 1 = -(x+5)

y + 1 = -x - 5

y = -x - 6

x + y = -6

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for two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x=2. what is definitely true about x=2
Musya8 [376]

Answer:

Functions a(x) and b(x) intersect each other at x = 2.

6 0
3 years ago
Read 2 more answers
Given: ∠AOC, ∠BOC - complementary angles
34kurt

Answer:

  • 30
  • COB . . . . or . . . . BOC

Step-by-step explanation:

The reason given on the line of interest is "substitution," so the problem boils down to determining what was substituted for what. The previous statement says ...

  AOC + COB = 90

and the first part of the statement we're to complete has BOC + ___.

We see from the given statements that m∠AOC = m∠BOC + 30°, so it appears that is the substitution that has been made: AOC has been replaced by BOC + 30.

This means the first blank is filled with 30.

__

The second part of the previous statement is ...

  AOC + COB = 90

so we believe this (COB) should go in the second blank.

__

Then the line of interest would read ...

  BOC + 30 + COB = 90

_____

<em>Comment on the problem</em>

There is a curious mix of notations here. Usually, (as in the beginning of this problem) we refer to the measure of an angle using "m∠" in front of the angle designator, and we use a degree symbol to indicate the units of that measure. Part-way through the problem statement written here, those notations were dropped, and we're to assume they are intended. IMO, this is a poor way to demonstrate careful problem solving.

The substitution given for AOC is BOC+30, but the line into which that is substituted has AOC +COB = 90. This means the equation after substitution is ...

  BOC +30 +COB = 90

Since BOC and COB are the same angle, we can sort of fudge the "algebra" to get to  BOC=30, but if the problem were more carefully written, the angle would be referred to by consistent nomenclature:

  m∠AOC + m∠BOC = 90° . . . . . . . . . preferred angle designations

  (m∠BOC + 30°) + m∠BOC = 90° . . . . substitution for m∠AOC

  2(m∠BOC) = 60° . . . . . . algebra (subtract 30°, collect terms)

  m∠BOC = 30° . . . . . . . . algebra (divide by 2)

3 0
3 years ago
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Alexxandr [17]

9514 1404 393

Answer:

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Step-by-step explanation:

The overall dimensions of the block are ...

  10 in by 11 in by 17 in

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The volume of each of the three identical holes is similarly found:

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Then the volume of the block is the overall volume less the volume of the three holes:

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6 0
3 years ago
Use Elimination to solve the system below, find X!!!
grin007 [14]
The answer is x=2 that is the answer
5 0
3 years ago
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Neporo4naja [7]

Answer:

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Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

7 0
3 years ago
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